The Bending-Gradient theory for flexural wave propagation in composite plates

Nadine Bejjani (1, 2) , Pierre Margerit (1) , Karam Sab (1) , Joanna Bodgi (2) , Arthur Lebée (1)

1 NAVIER UMR 8205 - Laboratoire Navier
2 USJ - Université Saint-Joseph de Beyrouth

This paper is concerned with the prediction of the propagation of flexural waves in anisotropic laminated plates with relatively high slenderness ratios by means of refined plate models. The study is conducted using the Bending-Gradient theory which is considered as an extension of the Reissner-Mindlin theory to multilayered plates. Two projections of the Bending-Gradient model on Reissner-Mindlin models are also explored. The relevance of the proposed models is tested by comparing them to well-known plate theories and to reference results obtained using the finite element method.

Mots clés: Wave propagation; Dispersion curve; Flexural mode; Laminated plates; Three-dimensional elasticity; Bending-Gradient theory; Reissner-Mindlin model; Spectral Finite Element Method

Domaines: Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]

Nadine Bejjani, Pierre Margerit, Karam Sab, Joanna Bodgi, Arthur Lebée. The Bending-Gradient theory for flexural wave propagation in composite plates. International Journal of Solids and Structures, 2020, 191-192, pp.99-109. ⟨10.1016/j.ijsolstr.2019.11.024⟩. ⟨hal-03245851⟩